Solve the simultaneous equations 5x+4y = 1 and 3x - 6 y = 2.

x=31,y=−61

Put the equations in standard form and then use matrices to solve the system of equations.

5x+4y=1,3x−6y=2

Write the equations in matrix form.

(534−6)(xy)=(12)

Left multiply the equation by the inverse matrix of (534−6).

inverse((534−6))(534−6)(xy)=inverse((534−6))(12)

The product of a matrix and its inverse is the identity matrix.

(1001)(xy)=inverse((534−6))(12)

Multiply the matrices on the left hand side of the equal sign.

(xy)=inverse((534−6))(12)

For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)

Do the arithmetic.

(xy)=(71141212−425)(12)

Multiply the matrices.

(xy)=(71+212×2141−425×2)

Do the arithmetic.

(xy)=(31−61)

Extract the matrix elements x and y.

x=31,y=−61

First equation: x= 1 y= -1

Second equation:  x = 2/3 y = 1/-3

Step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

answer: 88

step-by-step explanation: